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Finding the Fourth Proportional to 33,998.70, 50,998.05 and 27,000.30

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Solution

The fourth proportional to 33,998.70, 50,998.05 and 27,000.30 is: 40,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998.70 : 50,998.05 = 27,000.30 : x
  2. Step 2: Convert to fraction form
    33,998.70/50,998.05 = 27,000.30/x
  3. Step 3: Cross multiply
    33,998.70x = 50,998.05 × 27,000.30
  4. Step 4: Simplify right side
    33,998.70x = 1,376,962,649.42
  5. Step 5: Solve for x
    x = 1,376,962,649.42/33,998.70
  6. Step 6: Final answer
    x = 40,500.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.